Forensic scientists use the lengths of certain bones to calculate the height of person. A bone often used is the tibia (t), the bone from the ankle to the knee. A man’s height (h) is determined from the length of this bone using a function defined by the following formula:
h(t) = 81.69 + 2.39t
Find the height of a man with a tibia measuring 40 centimeters
h(t) gives the height for any value of t. For this problem, wherever you see a t, substitute 40:
h(40) = 81.69 + 2.39*40
To find the height of a man with a tibia measuring 40 centimeters, we can use the formula provided:
h(t) = 81.69 + 2.39t
In this equation, "h(t)" represents the height of a person, and "t" represents the length of the tibia bone.
To find the height, substitute the value of "t" with 40 centimeters:
h(40) = 81.69 + 2.39(40)
Now, we multiply 2.39 by 40:
h(40) = 81.69 + 95.6
Finally, add 81.69 and 95.6 together to find the height:
h(40) = 177.29
Therefore, the height of a man with a tibia measuring 40 centimeters is approximately 177.29 centimeters.